188748672 has 256 divisors, whose sum is σ = 620421120. Its totient is φ = 49674240.

The previous prime is 188748667. The next prime is 188748689. The reversal of 188748672 is 276847881.

It is a super-2 number, since 2×188748672² = 71252122363527168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2658397 + ... + 2658467.

It is an arithmetic number, because the mean of its divisors is an integer number (2423520).

Almost surely, 2^188748672 is an apocalyptic number.

188748672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188748672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310210560).

188748672 is an abundant number, since it is smaller than the sum of its proper divisors (431672448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

188748672 is a wasteful number, since it uses less digits than its factorization.

188748672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 51.

The square root of 188748672 is about 13738.5833330806. The cubic root of 188748672 is about 573.6248646555.

It can be divided in two parts, 188748 and 672, that added together give a triangular number (189420 = T₆₁₅).

The spelling of 188748672 in words is "one hundred eighty-eight million, seven hundred forty-eight thousand, six hundred seventy-two".